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Finding the Third Proportional to 494,300 and 1,023,580

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Solution

The third proportional to 494,300 and 1,023,580 is: 2,119,595.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,300 : 1,023,580 = 1,023,580 : x
  2. Step 2: Convert to fraction form
    494,300/1,023,580 = 1,023,580/x
  3. Step 3: Cross multiply
    494,300x = 1,023,580 × 1,023,580
  4. Step 4: Simplify right side
    494,300x = 1,047,716,016,400
  5. Step 5: Solve for x
    x = 1,047,716,016,400/494,300
  6. Step 6: Final answer
    x = 2,119,595.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.